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In a semiconductor superlattice with long scattering times, damping of Bloch oscillations due to scattering is so small that nonlinearities may compensate it and Bloch oscillations persist even in the hydrodynamic regime. To demonstrate…

Mesoscale and Nanoscale Physics · Physics 2012-05-08 L. L. Bonilla , M. Álvaro , M. Carretero

Light propagation in periodic environments is often associated with a number of interesting and potentially useful processes. If a crystalline optical potential is also linearly ramped, light can undergo periodic Bloch oscillations, a…

Electrons performing Bloch oscillations in an energy band of a dc-biased superlattice in the presence of weak dissipation can potentially generate THz fields at room temperature. The realization of such Bloch oscillator is a long-standing…

Mesoscale and Nanoscale Physics · Physics 2009-10-08 Timo Hyart , Natalia V. Alexeeva , Jussi Mattas , Kirill N. Alekseev

A photonic realization of Bloch oscillations (BOs) of two correlated electrons that move on a one-dimensional periodic lattice, based on spatial light transport in a square waveguide array with a defect line, is theoretically proposed. The…

Strongly Correlated Electrons · Physics 2015-06-03 Stefano Longhi

Bloch oscillations (BOs) of polychromatic beams in circularly-curved optical waveguide arrays are smeared out owing to the dependence of the BO spatial period on wavelength. Here it is shown that restoring of the self-imaging property of…

Optics · Physics 2015-05-14 S. Longhi

When trapped atoms are illuminated by weak lasers, off-resonant transitions cause shifts in the frequencies of the vibrational-sideband resonances. These frequency shifts may be understood in terms of Stark-shifts of the individual levels…

Quantum Physics · Physics 2009-11-13 I. Lizuain , J. G. Muga , J. Eschner

We predict that optical Bloch oscillations can be observed in layered structures with left-handed metamaterials and zero average refractive index where the layer thickness varies linearly across the structure. We demonstrate a new type of…

We introduce a new approach for retrieving effective parameters of metamaterials based on the Bloch-mode analysis of quasi-periodic composite structures. We demonstrate that, in the case of single-mode propagation, a complex effective…

Electrons in a lattice exhibit time-periodic motion, known as Bloch oscillation, when subject to an additional static electric field. Here we show that a corresponding dynamics can occur upon replacing the spatially periodic potential by a…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Vanessa Junk , Phillipp Reck , Cosimo Gorini , Klaus Richter

We study Bloch wave homogenization of periodically heterogeneous media with fourth order singular perturbations. We recover different homogenization regimes depending on the relative strength of the singular perturbation and length scale of…

Analysis of PDEs · Mathematics 2020-11-24 Vivek Tewary

Resonant modes in a lossy periodic structure sandwiched between two lossless homogeneous media form bands that depend on the Bloch wavevector continuously and have a complex frequency due to radiation and absorption losses. A complex bound…

Optics · Physics 2022-02-16 Ling Tan , Lijun Yuan , Ya Yan Lu

Bloch oscillations (BOs) are a fundamental phenomenon by which a wave packet undergoes a periodic motion in a lattice when subjected to an external force. Observed in a wide range of synthetic lattice systems, BOs are intrinsically related…

Mesoscale and Nanoscale Physics · Physics 2020-11-26 Marco Di Liberto , Nathan Goldman , Giandomenico Palumbo

We investigate the behavior of waves in a periodic medium containing small soft inclusions or cavities of arbitrary shape, such that the homogeneous Dirichlet conditions are satisfied at the boundary. The leading terms of Bloch waves, their…

Mathematical Physics · Physics 2024-01-02 Yuri A. Godin , Boris Vainberg

We examine the high-frequency differential conductivity response properties of semiconductor superlattices having various miniband dispersion laws. Our analysis shows that the anharmonicity of Bloch oscillations (beyond tight-binding…

Condensed Matter · Physics 2009-11-07 Yuriy A. Romanov , Lev G. Mourokh , Norman J. M. Horing

Achieving Bloch oscillations of free carriers under a direct current, a long-sought-after collective many-body behavior, has been challenging due to stringent constraints on the band properties. We argue that the flat bands in moir\'e…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Ali Fahimniya , Zhiyu Dong , Egor Kiselev , Leonid Levitov

Of particular interest for radio and hard X-ray diagnostics of accelerated electrons during solar flares is the understanding of the basic non-linear mechanisms regulating the relaxation of electron beams propagating in turbulent plasmas.…

Space Physics · Physics 2015-03-06 Nicolas H. Bian , Eduard P. Kontar , Heather Ratcliffe

We examine the effects of a periodically varying flow velocity on the standing and travelling wave patterns formed by the flow-distributed oscillation (FDO) mechanism. In the kinematic (or diffusionless) limit, the phase fronts undergo a…

Pattern Formation and Solitons · Physics 2009-11-11 Patrick N. McGraw , Michael Menzinger

We discuss the method for the measurement of the gravity acceleration g by means of Bloch oscillations of an accelerated BEC in an optical lattice. This method has a theoretical critical point due to the fact that the period of the Bloch…

Quantum Gases · Physics 2016-11-23 Andrea Sacchetti

The motion of a quantum system subjected to an external force often defeats our classical intuition. A celebrated example is the dynamics of a single particle in a periodic potential, which undergoes Bloch oscillations under the action of a…

Quantum Gases · Physics 2025-11-11 F. Rabec , G. Chauveau , G. Brochier , S. Nascimbene , J. Dalibard , J. Beugnon

It has long been known that quantum particles moving in a periodic lattice and subject to a constant force field undergo an oscillatory motion that is referred to as Bloch Oscillations (BOs). However, it is also known that, under quite…

Mesoscale and Nanoscale Physics · Physics 2023-08-11 J. M. Alendouro Pinho , J. P. Santos Pires , Simão M. João , B. Amorim , J. M. Viana Parente Lopes